Finite Group Databasebeta

← Group #13168681

Character table — Group #13168681

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212224436661212121212121212121212124444666612121212121212121212121244444444121212126612121212121212121212121212122412121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111-1-1111111-1-111-1-111-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-11111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111111-1-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111111111-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-11111-1-11-11111-1-11-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-111-1-111-11-1-11111-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111111-1-111111111-111-1-1-111-1-1-1-111-1-111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-11111-1-1111111-1-11-1-1111-1-11111-1-1-1-111-1-111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-11-11-111-1-111-1-11111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-111-1-1-11-1-11111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1111-11111-1-11-1-11
χ17222222-1-1-1222222-12-1-122-1-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-1022222-1-10022220000-1-1002200000000-1-1-102-1-1-10000-1-1-1-1200000-1-1-1000
χ18222222-1-1-1222222-12-1-122-1-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-10-2-2222-1-100-2-22200001100-2-200000000-1-1-10-21-1-100001111-200000111000
χ19222222-1-1-1222222-12-1-122-1-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1022-2-2-2110022-2-20000-1-100-2-20000000011102-1110000-1-1-1-1-200000111000
χ20222222-1-1-1222222-12-1-122-1-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10-2-2-2-2-21100-2-2-2-20000110022000000001110-211100001111200000-1-1-1000
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χ23222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-2111102-22-2-21100222200001100220000000011-10-2-1-1-10000-1-111-200000-1-11000
χ24222222-1-1-1222222-12-1-1-22-1-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-211110-222-2-21100-2-2220000-1-100-2-20000000011-1021-1-1000011-1-120000011-1000
χ2522222-1222-122-1-122-12-12-12-12-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12002-1-122-1-100-1-1-1-1220022002200-1-1-1-1-1-12200-1-1-1-1-1-100000000-1-1000000
χ2622222-1222-122-1-122-12-12-12-12-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2002-1-1221100-1-111-2-200-2-200-2-2001111-1-12-200-1-111110000000011000000
χ2722222-1222-122-1-122-12-12-12-12-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1200-211-2-2-1-10011-1-12200-2-200-2-200111111-220011-1-1-1-10000000011000000
χ2822222-1222-122-1-122-12-12-12-12-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-200-211-2-211001111-2-20022002200-1-1-1-111-2-20011111100000000-1-1000000
χ2922222-1222-122-1-122-12-1-2-12-12-1-1-1-12112222-1-1-1-1-2-2-2-211111111-200-2-1-122-1-10011112200-2-20022001111-1-1-2-2001111-1-100000000-1-1000000
χ3022222-1222-122-1-122-12-1-2-12-12-1-1-1-121122-2-2-1-1-1-1-2-2-2-211111111200-2-1-122110011-1-1-2-2002200-2-200-1-1-1-1-1-1-220011-1-1110000000011000000
χ3122222-1222-122-1-122-12-1-2-12-12-1-1-1-1211-2-222-1-1-1-1-2-2-2-211111111-200211-2-2-1-100-1-11122002200-2-200-1-1-1-1112-200-1-111-1-10000000011000000
χ3222222-1222-122-1-122-12-1-2-12-12-1-1-1-1211-2-2-2-2-1-1-1-1-2-2-2-211111111200211-2-21100-1-1-1-1-2-200-2-20022001111112200-1-1-1-11100000000-1-1000000
χ332222-122222-1-122-12-1-122-1-12-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12220000022-1-10022-1-122000000220000000-1-1200-1-1-1-1-1-1-1-102-1-100000-100
χ342222-122222-1-122-12-1-122-1-12-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12-2-20000022110022-1-1-2-2000000-2-20000000-11-200-1-1-1-111110-21100000100
χ352222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-22200000-2-2-1-100-2-21122000000-2-200000001-12001111-1-1-1-10-21100000100
χ362222-122222-1-122-12-1-122-1-12-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-200000-2-21100-2-211-2-200000022000000011-2001111111102-1-100000-100
χ372222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-1-2111-2-2111111-22-20000022-1-100-2-2-1-1-2-20000002200000001120011-1-1-1-1110-2-1-100000100
χ382222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-20022-1-1-1-1-2111-2-2111111-2-2200000221100-2-2-1-122000000-2-200000001-1-20011-1-111-1-1021100000-100
χ392222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-211111122-200000-2-2-1-1002211-2-2000000-2-20000000-11200-1-111-1-111021100000-100
χ402222-122222-1-122-12-1-12-2-1-12-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-21111112-2200000-2-21100221122000000220000000-1-1-200-1-11111-1-10-2-1-100000100
χ412-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002-22i−2i22-2-200000000000000002-22-22i−2i0000002i−2i0000002i−2i0000002-2000000002i−2i000000002i−2i000000
χ422-22-2222-2-2-22-22-2-222220-2-22-2-22-2-22002-2−2i2i22-2-200000000000000002-22-2−2i2i000000−2i2i000000−2i2i0000002-200000000−2i2i00000000−2i2i000000
χ432-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200-222i−2i22-2-20000000000000000-22-222i−2i0000002i−2i000000−2i2i000000-22000000002i−2i00000000−2i2i000000
χ442-22-2222-2-2-22-22-2-222220-2-22-2-22-2-2200-22−2i2i22-2-20000000000000000-22-22−2i2i000000−2i2i0000002i−2i000000-2200000000−2i2i000000002i−2i000000
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χ502-22-22-12-2-212-2-11-22-12-101-2-1-21-1112−332-2−2i2i-1-1110000−33−33−3−3330000-112-2i−i00−33−i3i3−2i2i000000−2i2i00−i3−i3i3i3-110000−33−i3i3i−i00000000i−i000000
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χ894-44-4-2-24-4-42-22-22241-2-20-12-22212-1-223−2300−4i4i11-1-1000023−23−33−3−333000000002i−2i00002i3−2i32i−2i0000000000000000000000−i3i3−ii0000000000000000
χ904-44-4-2-24-4-42-22-22241-2-20-12-22212-1-2−2323004i−4i11-1-10000−23233−333−3−300000000−2i2i00002i3−2i3−2i2i0000000000000000000000−i3i3i−i0000000000000000
χ914-44-4-2-24-4-42-22-22241-2-20-12-22212-1-2−232300−4i4i11-1-10000−23233−333−3−3000000002i−2i0000−2i32i32i−2i0000000000000000000000i3−i3−ii0000000000000000
χ924-4-4444-22-2-4-44-44-424-2-204-2222-4-2-42000000-22-2200000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ934-4-4444-22-2-4-44-44-424-2-204-2222-4-2-42000000-22-220000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ944-4-444-24-442-442-2-4-4-24-20-242-422-22-4000000-22-22000000000000000000000000000000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ954-4-444-24-442-442-2-4-4-24-20-242-422-22-4000000-22-2200000000000000000000000000000000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ964-4-44-244-44-42-2-442-4-2-240-2-2-42-42422000000-22-22000000000000000000000000000000000000004-40000000000000000000000-2200000000
χ974-4-44-244-44-42-2-442-4-2-240-2-2-42-42422000000-22-2200000000000000000000000000000000000000-4400000000000000000000002-200000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-44-4-8-84484-4-42044-2-424-2-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-488-8-44444-4-82-4-40-244-4-4-24240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44-44444-442220-2-2-222-2-22-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-44444-442220-2-2-222-2-22-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-444-8-448-84-4-42-404-2-4-24-444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-44-444-42220-2-22-2-22-2-2243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-44-444-42220-2-22-2-22-2-22−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-44-44-884-4-84-4-420-4-4-24-242440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-4-84-4-8844-42-40-424-244-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-8844-44-44-82-4-402-4444-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-444-44-444222022-2-2-2-22-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-444-44-444222022-2-2-2-22-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).